Interpret the slope for PROP_CHANGE_INCOME if appropriate. If not, argue why.Estimated model = 97.23184 - 1.94182(proportion of change in household income over the past several yeares + 0.56185(proportion of free school lunch participation) f) Test the significance of the slope for PROP_LUNCH in the model in part b). Don't forget to specify the null andalternative hypothesis, test statistic, degrees of freedom, p-value, decision and conclusion in the words of theproblem. Use level of significance 5%.Ho: B₁ = 0 vs. H₁: B₁ * 0α = 0.05Based on the SAS output:t = 2.99, df-n-2=40-2=38p-value = 0.0048<0.05Decision: Since the p-value is less than 0.05, we reject the null hypothesis.This data provides sufficient evidence to support the conclusion that the correlation between crime rate and theproportion of free school lunch participation is significant on a level of significance 5%. Furthermore, the datasupports the hypothesis that the proportion of free school lunch participation and crime rate are significantlyassociated on a level of significance 5%.g) Interpret the slope for PROP_LUNCH if appropriate. If not, argue why.h) Test the significance of the slope for PROP_CHANGE_INCOME in the model in part b). Don't forget to specify thenull and alternative hypothesis, test statistic, degrees of freedom, p-value, decision and conclusion in the words ofthe problem. Use level of significance 5%.Ho: B₂ = 0 vs. H₁: B₂ #0α = 0.05Based on the SAS output:t= -2.30, df=n-2=40-2=38p-value = 0.0270 <0.05Decision: Since the p-value is less than 0.05, we reject the null hypothesis.This data provides sufficient evidence to support the conclusion that the correlation between crime rate and theproportion of change in household income over the past several years is significant on a level of significance 5%.Furthermore, the data supports the hypothesis that the proportion of change in household income over the pastseveral years and crime rate are significantly associated on a level of significance 5%.i) Interpret the slope for PROP_CHANGE_INCOME if appropriate. If not, argue why.

This question seeks to interpret the slope of the estimated model which relates the proportion of…

Interpret the slope for PROP_CHANGE_INCOME if appropriate. If not, argue why. Estimated model = 97.23184 - 1.94182(proportion of change in household income over the past several yeares + 0.56185(proportion of free school lunch participation)

Interpret the slope for PROP_CHANGE_INCOME if appropriate. If not, argue why. Estimated model = 97.23184 - 1.94182(proportion of change in household income over the past several yeares + 0.56185(proportion of free school lunch participation)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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